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weqwewe [10]
3 years ago
5

How are adding, subtracting, dividing, and multiplying rational expressions are similar and different?

Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Rational expressions are multiplied and divided the same way numeric fractions are.

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Write an equation of the line below.
Lubov Fominskaja [6]

Answer (<u>assuming it can be in slope-intercept form)</u>:

y = \frac{4}{5} x

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula m = \frac{y_2-y_1 }{x_2-x_1} and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

m = \frac{4-0}{5-0} \\m = \frac{4}{5}

So, the slope is \frac{4}{5}.

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the y = mx + b format. The number in place of m represents the slope, so substitute \frac{4}{5} in its place. The number in place of b represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:

y =\frac{4}{5} x+0\\y = \frac{4}{5} x

4 0
4 years ago
Read 2 more answers
Jane cycles 27km at 12m/h. How long does she take?
emmainna [20.7K]
Every hour at 12km/h I would go 12km. Simple.

The distance traveled in km is equal to 12 times how many hours you go.

If I go 27 km, I can go in reverse and divide by 12 to get 2.25 hours.

A quarter of an hour is 15 minutes, so the answer would be 2 hours and 15 minutes.

6 0
3 years ago
The table below shows the total cost (TC) and marginal cost (MC) for Choco Lovers, a monopolistic firm producing different quant
goblinko [34]

Answer:

  Spreadsheet values

  • B3 = $15 (shown)
  • C4 = $420 (shown)
  • D6 = $272.5
  • E4 = $6
  • F2 = $16
  • F6 = $5

  Other values

  • profit maximizing Q: 35
  • profit maximizing P: $13
  • maximum profit: $227.5

Step-by-step explanation:

Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.

a) The relationship between quantity, price, and revenue is ...

  total revenue = quantity × price

  price = (total revenue)/quantity

Then ...

  • B3 = 375/25 = 15 (as shown)
  • C4 = 30×14 = 420 (as shown)

__

b) The relationship between total cost and marginal cost is ...

  mc2 = (tc2 -tc1)/(q2 -q1)

  tc2 = (mc2)(q2 -q1) +tc1

Then ...

  • D6 = 9(40 -35) +227.5 = 272.5
  • E4 = (192.5 -162.5)/(30 -25) = 6

__

c) Marginal revenue is figured the same way as marginal cost.

  mr2 = (r2 -r1)/(q2 -q1)

Then ...

  • F2 = (320 -0)/(20 -0) = 16
  • F6 = (480 -455)/(40 -35) = 5

__

d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity  is 35, where both marginal cost and marginal revenue are 7.

__

e) The price at a quantity of 35 is 13. This value is read from the given table.

__

f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:

  maximum profit = 455 -227.5 = 227.5

4 0
3 years ago
Whats the quotient of 15.86 divided by 0.65?
spayn [35]

Answer:

24.4

Step-by-step explanation:

15.86 /0.65 = 24.4

8 0
3 years ago
HELP PLEASE ASAP
Svetach [21]

the sample would be the number polled  - 50,000

 the population would be all college students

7 0
3 years ago
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